a cademy of e ngineering s ession principles of engineering integrated curriculum pier sun ho...
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ACADEMY OF ENGINEERING SESSION
Principles of Engineering Integrated Curriculum
Pier Sun HoKathleen Harris
2
Workshop Objectives and Expectations
This workshop is intended to:
• Familiarize teacher teams with the integrated curriculum model
• Introduce POE and its associated integrated curriculum
• Prepare participants for implementing the curriculum
• Introduce the participants to a sample culminating engineering project
Continuum of Curriculum Integration
BASIC INTERMEDIATE ADVANCED
CTE
ELA
MATH
ARTS
FORLANG
SOC
SCI
Single Subject Parallel (Paired) Interrelated Conceptual
Aug Sep Oct Nov Dec
EnglishBiographiesCharacter traits and motivation
Short storiesTime and sequenceForeshadowingFlashback
Universal themesLiterary devices Imagery, allegory, symbolism
Creative writingInterviews
Evaluating credibilityWriting persuasive compositions
Algebra IINumbers and functions
Solving systems of linear equations
Solving and graphing quadratics
Exponential equationsLogarithms
Polynomial functions
Biology Scientific method
Cell biologyPhotosynthesisCellular respiration
Central dogmaDNA structure and technologyProtein synthesis
MeiosisInheritance
CloningStem cell research
GeometryDefinitionsGeometric reasoning
Induction vs. deductionConstruction of lines, angles, shapes
CirclesProperties of trianglesCongruence
QuadrilateralsPolygons
Area, and surface areaSectors and segments
Law and Justice
Ancient legal systemsEarly laws
Sources of lawBill of RightsAmendments
CodesCriminal investigation
CourtsCourtroom testimony
MediationArbitrationConflict resolution
Integrated Curriculum Overview
EnginProject
PLTW
Science
English Language
ArtsMath
Social Studies
• Tier I– Introduction to Engineering Design– Principles of Engineering– Digital Electronics
• Tier II– Aerospace Engineering– Biotechnical Engineering– Civil Engineering and Architecture– Computer Integrated Manufacturing
• Tier III– Engineering Design and Development 6
Principles Of Engineering
Key Concepts:• Mechanisms• Energy Sources• Energy Applications• Design Problem
Unit 1: Energy and Power
Unit 2: Control Systems
Principles Of Engineering
Key Concepts:• Machine Control• Fluid Power• Design Problem
Unit 3: Materials and Structures
Strain () in./in. S
tres
s (S
) ps
i Rupture Point
Necking Region
Principles Of Engineering
Key Concepts:• Statics• Materials Properties• Material Testing• Design Problem
Unit 4: Statistics and Kinematics
Principles Of Engineering
Key Concepts:• Statistics• Kinematics• Design Problem
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Integrated Curriculum Overview
There are 2 curriculum units for Principles of Engineering
• Semester 1: Bridge Builder
• Semester 2: Bombs Away
Each unit includes:• Lesson plans for the four academic subject areas and POE
• Relevant national standards alignment
• Teacher resources (background info, answer keys, rubrics)
• Student resources (handouts, worksheets, labs)
Unit 2
Bombs Away
Unit Overview
• Subunit 1 introduces students to the study of external ballistics and the science and math that governs objects in ballistic trajectories
• Subunit 2 lessons examine the history of atmospheric ballistic weapons use in conflicts in the 20th century, including evaluation of the rationale and the ethical issues surrounding the aftermath.
• Subunit 3 lessons explore issues associated with ballistic missiles and provide student the opportunity to apply their knowledge in a design challenge
Major Academic Subject Topics and Content
• English Language Arts• Biographies• Argumentation and debate
• Social Studies• World War II—Battle of Britain, Dresden bombing• Cold War—Cuban Missile Crisis
• Science• Physical Science/Physics—Trajectory motion
• Mathematics• Quadratic equations• Arcs and chords, basic trigonometry
Subunit 1: Ready, Aim, Fire
Lesson and Subject Description
Lesson 1.1Principles of Engineering
Ballistic Bullseye
Lesson 1.2Physical SciencePrinciples of Engineering
Trajectory Motion
Lesson 1.3Algebra IGeometry
“Quannon” Quadratics
Lesson 1.4English Language Arts
Rocket Boys
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Ballistic Motion
• Ballistics: Study of projectiles, objects propelled by an
initial launch force
Examples
• Sports (football, basketball, baseball, soccer, golf, etc.)
• Missiles/Bombs/Bullets
• Bullets
• Fountains
• Fireworks
Subunit 1: Ready, Aim, Fire
Lesson and Subject Description
Lesson 1.1Principles of Engineering
Ballistic Bullseye
Lesson 1.2Physical SciencePrinciples of Engineering
Trajectory Motion
Lesson 1.3Algebra IGeometry
“Quannon” Quadratics
Lesson 1.4English Language Arts
Rocket Boys
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Approaching a Drop Target
Do You….?
A. Drop payload when you are directly above the target
B. Drop payload before you get to the target?
C. Drop payload after you’ve passed the target?
But, but…!
What’s Happening?
Courtesy of NOAA
Kinematics and Projectile Motion (page 1-11)
• Kinematics is the study of the geometry of motion and is used to relate displacement, velocity, acceleration and time without reference to the cause of motion.
• Projectile Motion is in two directions – horizontal and vertical
• Horizontal motion is independent of vertical motion
Basic typical assumptions
• Air resistance is negligible
• Curvature of the Earth is negligible
• Force of gravity is constant at -9.8 m/s2 or -32 ft/s2
Analysis of Projectile Motion: Distance
• Horizontal Direction (x) represents the range, or distance the projectile travels
• Vertical direction (y) represents the altitude, or height, the projectile reaches
Calculating Displacement
• S = vi t + ½ at2
• Sx = r = vix t + ½ axt2 = vix t
• Sy = h = viy t + ½ ayt2 = viy t + ½ gt2
h
r
Analysis of Projectile Motion: Velocity
• Horizontal velocity (Vx) is constant since there is no acceleration in the horizontal direction
• Vertical velocity (Vy) is affected by the gravity; the vertical velocity of a projectile is zero at the height of its trajectory
Analysis of Projectile Motion: Velocity
SOH – CAH - TOA
Subunit 1: Ready, Aim, Fire
Lesson and Subject Description Page
Lesson 1.1Principles of Engineering
Ballistic Bullseye 1-1
Lesson 1.2Physical SciencePrinciples of Engineering
Trajectory Motion 1-9
Lesson 1.3Algebra IGeometry
“Qannon” Quadratics 1-23
Lesson 1.4Chemistry
Fireworks Fun
Lesson 1.5English Language Arts
Rocket Boys
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Mountain Matchup
It’s time for a fight in the heights. Unfortunately, you don’t have the high ground, but that doesn’t mean you don’t know what you’re doing. The artillery chief has set the cannons at a 76° angle and tells you to fire with an initial velocity of 56 m/s. How long will it take your cannonball to reach the castle?
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Castle CAltitude 50 m
Castle DAltitude 150 m
Castle D Knights
Altitude 0 m
Sy = vy t + ½ a t2
V0= 56 m/sVy= ?
50 m = vy t + ½ (-9.8) t2
SOH – CAH – TOA!
Θ= 76°
sin 76° = Opp / Hyp
0.97 = Vy / 56
Vy = 0.97 x 56
Vy = 54.3 m/s
50 m = (54.3) t + (-4.9)t2
Mountain Matchup
It’s time for a fight in the heights. Unfortunately, you don’t have the high ground, but that doesn’t mean you don’t know what you’re doing. The artillery chief has set the cannons at a 76° angle and tells you to fire with an initial velocity of 56 m/s. How long will it take your cannonball to reach the castle?
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Castle CAltitude 50 m
Castle DAltitude 150 m
Castle D Knights
Altitude 0 m
50 m = (54.3) t + (-4.9)t2
4.9 t2 - 54.3 t + 50 m = 0t = 1 s or 10.1 s
Subunit 1: Ready, Aim, Fire
Lesson and Subject Description
Lesson 1.1Principles of Engineering
Ballistic Bullseye
Lesson 1.2Physical SciencePrinciples of Engineering
Trajectory Motion
Lesson 1.3Algebra IGeometry
“Quannon” Quadratics
Lesson 1.4English Language Arts
Rocket Boys
29
Subunit 2: The Price of War
Lesson and Subject Description Page
Lesson 2.1World History
The Battle of Britain 2-1
Lesson 2.2World History
Right or Might 2-27
Lesson 3.3English Language Arts
Making a Case 2-57
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Bombing Strategies
• Tactical Bombing• Targets: Enemy military forces and other military targets and
enemy strongholds• Goal: Direct and immediate negative influence on the battlefront• Effect: Direct
• Strategic Bombing: • Targets: Infrastructure such as industrial plants, port facilities,
and railway bridges, as well as more widespread bombing of an enemy's cities and other civilian-populated areas
• Goal: Eliminate the enemy's capability and will to sustain a war effort
• Effect: Delayed
Right or Might?
• Spanish Civil War• Guernica, 1937
• World War II• London Blitz, 1940-1941• Pearl Harbor, 1941• Allied bombing at Dresden,
1945• Hiroshima and Nagasaki, 1945
• Vietnam• Operation Rolling Thunder,
1965-1968
• Post-Cold War• Kosovo, 1999• Iraq, 2003
Subunit 2: The Price of War
Lesson and Subject Description Page
Lesson 2.1World History
The Battle of Britain 2-1
Lesson 2.2World History
Right or Might 2-27
Lesson 3.3English Language Arts
Making a Case 2-57
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ARE You Convincing?
• Assertion: Begin with a statement that describes your main point• The voting age should be lowered to 16
• Reasoning: Follow with the “because” part of an argument where you support the assertion you’ve just made. • Because allowing younger people to vote would increase their
involvement in politics and society
• Evidence: Support your reasoning with multiple pieces of evidence from multiple unbiased sources • For example, politicians are more likely to listen to what kids
have to say if they have a vote
Debate Ethical Issues
• Select one of the conflicts listed to the right (or another conflict your table is familiar with) and debate the following:
Was the strategic bombing during this conflict justified?
• Spanish Civil War• Guernica, 1937
• World War II• London Blitz, 1940-1941• Pearl Harbor, 1941• Allied bombing at Dresden, 1945• Hiroshima and Nagasaki, 1945
• Vietnam• Operation Rolling Thunder, 1965-1968
• Post-Cold War• Kosovo, 1999• Iraq, 2003
Subunit 3: Too Close for Comfort
Lesson and Subject Description Page
Lesson 3.1Geometry
Ballistic Missile Range 3-1
Lesson 3.2U.S. History
Cuban Missile Crisis 3-23
Lesson 3.3Principles of Engineering
You Sunk My Battleship 3-51
36
37
Arcs and Chords
Subunit 3: Too Close for Comfort
Lesson and Subject Description Page
Lesson 3.1Geometry
Ballistic Missile Range 3-1
Lesson 3.2U.S. History
Cuban Missile Crisis 3-23
Lesson 3.3Principles of Engineering
You Sunk My Battleship 3-51
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Cuban Missile Crisis Roleplay
39
Subunit 3: Too Close for Comfort
Lesson and Subject Description Page
Lesson 3.1Geometry
Ballistic Missile Range 3-1
Lesson 3.2U.S. History
Cuban Missile Crisis 3-23
Lesson 3.3Principles of Engineering
You Sunk My Battleship 3-51
40
Build an Adjustable Ballistic Device
• Notched Craft Sticks (15)• Glue• Binder Clips (2)• Rubber Bands (4)• Masking Tape• Protractor
Catapult should be capable of firing at multiple angles and be mounted on a cardboard base
Test your Trajectories
• Set up your catapult
• Test your catapult for at least three angles
• Do at least 5 trials and average the range for each angle
• Using the average data, create a graph illustrating the range of your
catapult
0
2
4
6
8
10
0 deg 30 deg 45 deg 60 deg
Battleship!
• Mount your catapult on a “battleship”
• Place your battleship on the grid
• Each square is 1’ x 1’
• On your turn, you can do any combination of the following: move up to three space, rotate 90 and/or fire
• A hit can be on any part of the battleship (no bounces!), 2 hits required to sink
• Goal: Sink the enemy battleships before they sink you
Implementing Integrated Curriculum
• Common Planning Time
• Curriculum Mapping and Lesson Discussion
45
SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL
IED
BIO
PHYS
SCI
ALG I
ELA
HIST
GEOM
IEDDESIGN
PROCESS
SKETCHING DRAWING MEASURE
MENT
BASIC MODELS PUZZLE CUBE
GEOMETRIC CONSTRAINTS
ADV MODELING
ASSEMBLY MODELING
FUNCTIONAL ANALYSIS
REVERSE ENGIN
BIOCELL BIOLOGY
MEIOSIS FERTILIZATION
MENDEL’S LAWS
MOLECULAR BIOLOGY
BIOTECH ECOLOGY POPULAT’N GENETICS
ADAPTATION SPECIATION
PHYSIOLOGY HOMEO STASIS
INFECTION IMMUNITY
PHYS
SCI
MEASURING
THE UNIVERSESOLAR
SYSTEM
HISTORICAL FIGURES
FORCES
SPECTRO SCOPY
PROPERTIES OF MATTER
WEATHER
PLATE TECTONICS
ELECTICITY MAGNETISM ENERGY &
WAVES
SIMPLE MACHINES CHEMISTRY
ALG IREVIEW
REAL NUMBERS
SOLVE LINEAR EQUATIONS
AND INEQUALITIES
GRAPH AND INTERPRET
LINEAR EQUATIONS
SYSTEMS OF EQUATIONS
AND INEQUALITIES
EXPONENTS AND POLY NOMIALS
SOLVING SYSTEMS OF EQUATIONS
QUADRATIC FUNCTIONS
AND EQUATIONS
RATIONAL FUNCTIONS
AND EQUATIONS
ELA
AUTO/ BIOGRAPHIES
EXPOSITORY WRITING
SHORT STORIES
LITERARY RESPONSES
THE ODYSSEY
NARRATIVE WRITING
RESEARCH PAPER
ROMEO AND JULIET
LITERARY RESPONSES
PERSUSIVE WRITING
TO KILL A MOCKINGBIRD
TIMED ESSAYS
HISTWESTERN POLITICAL THOUGH
RISE OF DEMOCRATIC
IDEALS
INDUSTRIAL REVOLUTION
IMPERIALISM AND
COLONIALISMWW I TOTALI
TARIANISM WW II POST WW II
GEOM
LINES, ANGLES,
CONSTRUC TIONS
INDUCTION DEDUCTION
PROOFSTRIANGLES QUAD
RILATERALS AREA SIMILARITYRIGHT
TRIANGLE TRIG
CIRCLES
46
SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL
IEDDESIGN
PROCESS
SKETCHING DRAWING MEASURE
MENT
BASIC MODELS PUZZLE CUBE
GEOMETRIC CONSTRAINTS
ADV MODELING
ASSEMBLY MODELING
FUNCTIONAL ANALYSIS
REVERSE ENGIN
BIOCELL BIOLOGY
MEIOSIS FERTILIZATION
MENDEL’S LAWS
MOLECULAR BIOLOGY
BIOTECH ECOLOGY POPULAT’N GENETICS
ADAPTATION SPECIATION
PHYSIOLOGY HOMEO STASIS
INFECTION IMMUNITY
PHYS
SCI
MEASURING
THE UNIVERSESOLAR
SYSTEM
HISTORICAL FIGURES
FORCES
SPECTRO SCOPY
PROPERTIES OF MATTER
WEATHER
PLATE TECTONICS
ELECTICITY MAGNETISM ENERGY &
WAVES
SIMPLE MACHINES CHEMISTRY
ALG IREVIEW
REAL NUMBERS
SOLVE LINEAR EQUATIONS
AND INEQUALITIES
GRAPH AND INTERPRET
LINEAR EQUATIONS
SYSTEMS OF EQUATIONS
AND INEQUALITIES
EXPONENTS AND POLY NOMIALS
SOLVING SYSTEMS OF EQUATIONS
QUADRATIC FUNCTIONS
AND EQUATIONS
RATIONAL FUNCTIONS
AND EQUATIONS
ELA
AUTO/ BIOGRAPHIES
EXPOSITORY WRITING
SHORT STORIES
LITERARY RESPONSES
THE ODYSSEY
NARRATIVE WRITING
RESEARCH PAPER
ROMEO AND JULIET
LITERARY RESPONSES
PERSUSIVE WRITING
TO KILL A MOCKINGBIRD
TIMED ESSAYS
HISTWESTERN POLITICAL THOUGH
RISE OF DEMOCRATIC
IDEALS
INDUSTRIAL REVOLUTION
IMPERIALISM AND
COLONIALISMWW I TOTALI
TARIANISM WW II POST WW II
GEOM
LINES, ANGLES,
CONSTRUC TIONS
INDUCTION DEDUCTION
PROOFSTRIANGLES QUAD
RILATERALS AREA SIMILARITYRIGHT
TRIANGLE TRIG
CIRCLES
47
SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL
IEDDESIGN
PROCESS
SKETCHING DRAWING MEASURE
MENT
BASIC MODELS PUZZLE CUBE
GEOMETRIC CONSTRAINTS
ADV MODELING
ASSEMBLY MODELING
FUNCTIONAL ANALYSIS
REVERSE ENGIN
BIOCELL BIOLOGY
MEIOSIS FERTILIZATION
MENDEL’S LAWS
MOLECULAR BIOLOGY
BIOTECH POPULAT’N GENETICS
ADAPTATION SPECIATION ECOLOGY
PHYSIOLOGY HOMEO STASIS
INFECTION IMMUNITY
PHYS
SCI
MEASURING
THE UNIVERSESOLAR
SYSTEM
HISTORICAL FIGURES
FORCES
SPECTRO SCOPY
PROPERTIES OF MATTER
WEATHER
PLATE TECTONICS
ELECTICITY MAGNETISM ENERGY &
WAVES
SIMPLE MACHINES CHEMISTRY
ALG IREVIEW
REAL NUMBERS
SOLVE LINEAR EQUATIONS
AND INEQUALITIES
GRAPH AND INTERPRET
LINEAR EQUATIONS
SYSTEMS OF EQUATIONS
AND INEQUALITIES
EXPONENTS AND POLY NOMIALS
SOLVING SYSTEMS
OF EQUATIONS
QUADRATIC FUNCTIONS
AND EQUATIONS
RATIONAL FUNCTIONS
AND EQUATIONS
ELA
AUTO/ BIOGRAPHIES
EXPOSITORY WRITING
RESEARCH PAPER
SHORT STORIES
LITERARY RESPONSES
THE ODYSSEY
NARRATIVE WRITING
ROMEO AND JULIET
LITERARY RESPONSES
PERSUSIVE WRITING
TO KILL A MOCKINGBIRD
TIMED ESSAYS
HISTWESTERN POLITICAL THOUGH
RISE OF DEMOCRATIC
IDEALS
INDUSTRIAL REVOLUTION
IMPERIALISM AND
COLONIALISMWW I TOTALI
TARIANISM WW II POST WW II
GEOM
LINES, ANGLES,
CONSTRUC TIONS
INDUCTION DEDUCTION
PROOFSTRIANGLES QUAD
RILATERALS AREA SIMILARITYRIGHT
TRIANGLE TRIG
CIRCLES
48
SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL
IEDDESIGN
PROCESS
SKETCHING DRAWING MEASURE
MENT
BASIC MODELS PUZZLE CUBE
GEOMETRIC CONSTRAINTS
ADV MODELING
ASSEMBLY MODELING
FUNCTIONAL ANALYSIS
REVERSE ENGIN
BIOCELL BIOLOGY
MEIOSIS FERTILIZATION
MENDEL’S LAWS
MOLECULAR BIOLOGY
BIOTECH POPULAT’N GENETICS
ADAPTATION SPECIATION ECOLOGY
PHYSIOLOGY HOMEO STASIS
INFECTION IMMUNITY
PHYS
SCI
MEASURING
THE UNIVERSESOLAR
SYSTEM
HISTORICAL FIGURES
FORCES
SPECTRO SCOPY
PROPERTIES OF MATTER
WEATHER
PLATE TECTONICS
ELECTICITY MAGNETISM ENERGY &
WAVES
SIMPLE MACHINES CHEMISTRY
ALG IREVIEW
REAL NUMBERS
SOLVE LINEAR EQUATIONS
AND INEQUALITIES
GRAPH AND INTERPRET
LINEAR EQUATIONS
SYSTEMS OF EQUATIONS
AND INEQUALITIES
EXPONENTS AND POLY NOMIALS
SOLVING SYSTEMS
OF EQUATIONS
QUADRATIC FUNCTIONS
AND EQUATIONS
RATIONAL FUNCTIONS
AND EQUATIONS
ELA
AUTO/ BIOGRAPHIES
EXPOSITORY WRITING
RESEARCH PAPER
SHORT STORIES
LITERARY RESPONSES
THE ODYSSEY
NARRATIVE WRITING
ROMEO AND JULIET
LITERARY RESPONSES
PERSUSIVE WRITING
TO KILL A MOCKINGBIRD
TIMED ESSAYS
HISTWESTERN POLITICAL THOUGH
RISE OF DEMOCRATIC
IDEALS
INDUSTRIAL REVOLUTION
IMPERIALISM AND
COLONIALISMWW I TOTALI
TARIANISM WW II POST WW II
GEOM
LINES, ANGLES,
CONSTRUC TIONS
INDUCTION DEDUCTION
PROOFSTRIANGLES QUAD
RILATERALS AREA SIMILARITYRIGHT
TRIANGLE TRIG
CIRCLES
Implementing Integrated Curriculum
• Curriculum Mapping and Lesson Discussion• Revising lessons: This lesson doesn’t fit my scope and/or
standards• Removing lessons: We don’t have that subject teacher on our
team• Adding lessons: My subject isn’t represented in the unit
• Common Planning Time!
• We don’t have time/structure to fit this into our school year• Single subject integration• Parallel/Paired integration
49
Unit 1
Bridge Builder
Bridge Engineering
• Span physical obstacles
• Design depends on purpose and setting
• What is the main traffic (cars, pedestrians) of the bridge?
• How much traffic will there be?
• How far does the bridge need to span?
• What is the terrain around the obstacle?
• How much clearance is needed beneath the bridge?
• Are aesthetics a consideration?
Unit Overview
• Subunit 1 lessons introduce to the form and function of bridges, the different types of bridge designs, where and why bridges are built in specific locations, and a mini case study of Brooklyn Bridge
• Subunit 2 lessons introduce the basic math and science involved bridge engineering and bridge maintenance
• Subunit 3 lessons provide students with the opportunity to apply their academic and engineering knowledge to a design challenge: balsa wood truss bridge
Major Academic Subject Topics and Content
• English Language Arts• Narrative nonfiction• Interpreting technical reports• Writing news articles
• Social Studies• Gilded Age urbanization, industrialization, innovation, and politics
• Science• Force calculations, vectors, and free body diagrams• Corrosion• Environmental impact and mitigation
• Mathematics• Solving and graphing linear equations• (Trigonometry)
Subunit 1: Form and Function
Lesson and Subject Description
Lesson 1.1Principles of Engineering
Introduction to Bridges
Lesson 1.2English Language Arts
Great Bridges
Lesson 1.3U.S. History
Growth in the Gilded Age
Lesson 1.4English Language Arts
Site Selection
Lesson 1.5Biology
Environmental Mitigation
54
Subunit 2: Structural Support
Lesson and Subject Description
Lesson 2.1PhysicsPrinciples of Engineering
Science of Bridge Structure
Lesson 2.2Algebra I
Estimating Live Load
Lesson 2.3Chemistry
Rusty Truss
Lesson 2.4English Language Arts
Bridge Disaster Report
55
Subunit 3: Build Your Bridge
Lesson and Subject Description
Lesson 3.1U.S. History
Building the Brooklyn Bridge
Lesson 3.2Principles of Engineering
Bridge Blueprints
Lesson 3.3Principles of Engineering
Opening Day
56
THANKS FOR ATTENDING!
Download curriculum materials from the NAF curriculum library
Contact us with questions and suggestions!
Pier Sun Ho